MATH513 REPRESENTATION THEORY OF FINITE GROUPS
| Course Code: | 2360513 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. MAHMUT KUZUCUOĞLU |
| Offered Semester: | Fall Semesters. |
Course Objectives
Preliminaries for modules. and algebras. Modules/representations of group algebras kG, and their characters. The cases of the characteristic 0 and a prime p for the field k will be emphasized. Product of characters. Induced characters. Reduction and extension of characters.
Course Content
Ring theoretic preliminaries. Group representations and their characters. Characters, integrality and application to the structure theory of finite groups. Product of characters. Induced characters. Reduction and extension of characters. Brauer's theorem on characterization of characters.
Course Learning Outcomes
Preliminaries for modules. and algebras. Modules/representations of group algebras kG, and their characters. The cases of the characteristic 0 and a prime p for the field k will be emphasized. Product of characters. Induced characters. Reduction and extension of characters.